10712176938 has 160 divisors (see below), whose sum is σ = 25215542352. Its totient is φ = 3396556800.

The previous prime is 10712176907. The next prime is 10712176949. The reversal of 10712176938 is 83967121701.

It can be written as a sum of positive squares in 8 ways, for example, as 50168889 + 10662008049 = 7083^2 + 103257^2 .

It is a super-2 number, since 2×10712176938² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10712176893 and 10712176902.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59183208 + ... + 59183388.

Almost surely, 2^10712176938 is an apocalyptic number.

10712176938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712176938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607771176).

10712176938 is an abundant number, since it is smaller than the sum of its proper divisors (14503365414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10712176938 is a wasteful number, since it uses less digits than its factorization.

10712176938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10712176938 in words is "ten billion, seven hundred twelve million, one hundred seventy-six thousand, nine hundred thirty-eight".